Table X-P
External Similitude Centers.
Points available at the Kimberling's Encyclopedia ETC.
The ETC version: The 10000 points version of 2016.
The "Discoverer" database version: October 2013.
Last update: 2016-05-15

      Kimberling Notation     Role  
  1     X(1) Incenter     External Center of Similitude of the Circumcircle of Triangle ABC and the Circumcircle of the Inner Yff Triangle  
  2     X(1) Incenter     External Center of Similitude of the Circumcircle of Triangle ABC and the Excentral Circle of the Inner Yff Triangle  
  3     X(1) Incenter     External Center of Similitude of the Incentral Circle of Triangle ABC and the Incentral Circle of the Inner Yff Triangle  
  4     X(1) Incenter     External Center of Similitude of the Nine-Point Circle of Triangle ABC and the Nine-Point Circle of the Inner Yff Triangle  
  5     X(1) Incenter     External Center of Similitude of the Symmedial Circle of Triangle ABC and the Symmedial Circle of the Inner Yff Triangle  
  6     X(1) Incenter     External Center of Similitude of the Extouch Circle of Triangle ABC and the Extouch Circle of the Inner Yff Triangle  
  7     X(1) Incenter     External Center of Similitude of the Excentral Circle of Triangle ABC and the Circumcircle of the Inner Yff Triangle  
  8     X(1) Incenter     External Center of Similitude of the Excentral Circle of Triangle ABC and the Excentral Circle of the Inner Yff Triangle  
  9     X(1) Incenter     External Center of Similitude of the Antimedial Circle of Triangle ABC and the Antimedial Circle of the Inner Yff Triangle  
  10     X(1) Incenter     External Center of Similitude of the Tangential Circle of Triangle ABC and the Tangential Circle of the Inner Yff Triangle  
  11     X(1) Incenter     External Center of Similitude of the Spieker Circle of Triangle ABC and the Spieker Circle of the Inner Yff Triangle  
  12     X(1) Incenter     External Center of Similitude of the Stevanovic Circle of Triangle ABC and the Stevanovic Circle of the Inner Yff Triangle  
  13     X(1) Incenter     External Center of Similitude of the Sine-Triple-Angle Circle of Triangle ABC and the Sine-Triple-Angle Circle of the Inner Yff Triangle  
  14     X(1) Incenter     External Center of Similitude of the Brocard Circle of Triangle ABC and the Brocard Circle of the Inner Yff Triangle  
  15     X(1) Incenter     External Center of Similitude of the Second Brocard Circle of Triangle ABC and the Second Brocard Circle of the Inner Yff Triangle  
  16     X(1) Incenter     External Center of Similitude of the Orthocentroidal Circle of Triangle ABC and the Orthocentroidal Circle of the Inner Yff Triangle  
  17     X(1) Incenter     External Center of Similitude of the Moses Circle of Triangle ABC and the Moses Circle of the Inner Yff Triangle  
  18     X(1) Incenter     External Center of Similitude of the Half-Moses Circle of Triangle ABC and the Half-Moses Circle of the Inner Yff Triangle  
  19     X(1) Incenter     External Center of Similitude of the Parry Circle of Triangle ABC and the Parry Circle of the Inner Yff Triangle  
  20     X(1) Incenter     External Center of Similitude of the Lester Circle of Triangle ABC and the Lester Circle of the Inner Yff Triangle  
  21     X(1) Incenter     External Center of Similitude of the Inner Johnson-Yff Circle of Triangle ABC and the Inner Johnson-Yff Circle of the Inner Yff Triangle  
  22     X(1) Incenter     External Center of Similitude of the Outer Johnson-Yff Circle of Triangle ABC and the Outer Johnson-Yff Circle of the Inner Yff Triangle  
  23     X(1) Incenter     External Center of Similitude of the Lemoine Circle of Triangle ABC and the Lemoine Circle of the Inner Yff Triangle  
  24     X(1) Incenter     External Center of Similitude of the Gallatly Circle of Triangle ABC and the Gallatly Circle of the Inner Yff Triangle  
  25     X(1) Incenter     External Center of Similitude of the Kenmotu Circle of Triangle ABC and the Kenmotu Circle of the Inner Yff Triangle  
  26     X(1) Incenter     External Center of Similitude of the Cosine Circle of Triangle ABC and the Cosine Circle of the Inner Yff Triangle  
  27     X(1) Incenter     External Center of Similitude of the Apollonius Circle of Triangle ABC and the Apollonius Circle of the Inner Yff Triangle  
  28     X(1) Incenter     External Center of Similitude of the Taylor Circle of Triangle ABC and the Taylor Circle of the Inner Yff Triangle  
  29     X(3) Circumcenter     External Center of Similitude of the Incircle of Triangle ABC and the Circumcircle of the Inner Yff Triangle  
  30     X(5) Nine-Point Center     External Center of Similitude of the Outer Johnson-Yff Circle of Triangle ABC and the Circumcircle of the Inner Yff Triangle  
  31     X(12) Feuerbach Perspector     External Center of Similitude of the Incircle of Triangle ABC and the Nine-Point Circle of the Inner Yff Triangle  
  32     X(46) Prespector of the Excentral Triangle and the Orthic Triangle     External Center of Similitude of the Incircle of Triangle ABC and the Excentral Circle of the Inner Yff Triangle  
  33     X(55) Internal Center of Similitude of Circumcircle and Incircle     External Center of Similitude of the Inner Johnson-Yff Circle of Triangle ABC and the Nine-Point Circle of the Inner Yff Triangle  
  34     X(55) Internal Center of Similitude of Circumcircle and Incircle     External Center of Similitude of the Inner Johnson-Yff Circle of Triangle ABC and the Tangential Circle of the Inner Yff Triangle  
  35     X(388)     External Center of Similitude of the Circumcircle of Triangle ABC and the Nine-Point Circle of the Inner Yff Triangle  
  36     X(499)     External Center of Similitude of the Nine-Point Circle of Triangle ABC and the Antimedial Circle of the Inner Yff Triangle  
  37     X(1479) Center of the Outer Johnson-Yff Circle     External Center of Similitude of the Incircle of Triangle ABC and the Antimedial Circle of the Inner Yff Triangle  
  38     X(1479) Center of the Outer Johnson-Yff Circle     External Center of Similitude of the Nine-Point Circle of Triangle ABC and the Circumcircle of the Inner Yff Triangle  
  39     X(1770)     External Center of Similitude of the Excentral Circle of Triangle ABC and the Antimedial Circle of the Inner Yff Triangle  
  40     X(2241)     External Center of Similitude of the Moses Circle of Triangle ABC and the Circumcircle of the Inner Yff Triangle  
  41     X(4294)     External Center of Similitude of the Antimedial Circle of Triangle ABC and the Circumcircle of the Inner Yff Triangle  
  42     X(4299)     External Center of Similitude of the Circumcircle of Triangle ABC and the Antimedial Circle of the Inner Yff Triangle  
  43     X(5290)     External Center of Similitude of the Excentral Circle of Triangle ABC and the Nine-Point Circle of the Inner Yff Triangle  
  44     X(5414)     External Center of Similitude of the Cosine Circle of Triangle ABC and the Circumcircle of the Inner Yff Triangle  
  45     X(5687)     External Center of Similitude of the Spieker Circle of Triangle ABC and the Circumcircle of the Inner Yff Triangle  
  46     X(9597)     External Center of Similitude of the Moses Circle of Triangle ABC and the Antimedial Circle of the Inner Yff Triangle